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arXiv · 1609.08032

The geometry of constant mean curvature surfaces in $\mathbb{R}^3$

William H. Meeks III·Giuseppe Tinaglia
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Abstract

We derive intrinsic curvature and radius estimates for compact disks embedded in $\mathbb{R}^3$ with nonzero constant mean curvature and apply these estimates to study the global geometry of complete surfaces embedded in $\mathbb{R}^3$ with nonzero constant mean curvature.

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William H. Meeks III, Giuseppe Tinaglia. 2016-09-26. The geometry of constant mean curvature surfaces in $\mathbb{R}^3$. https://arxiv.org/abs/1609.08032

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